2791008 has 72 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 844800.

The previous prime is 2791007. The next prime is 2791031. The reversal of 2791008 is 8001972.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2791007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728 + ... + 3608.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

2^2791008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2791008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

2791008 is an abundant number, since it is smaller than the sum of its proper divisors (5877288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2791008 is a wasteful number, since it uses less digits than its factorization.

2791008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2791008 is about 1670.6310185077. The cubic root of 2791008 is about 140.7949335298.

The spelling of 2791008 in words is "two million, seven hundred ninety-one thousand, eight".